I used to live in Alabama. I've heard soap powder used before. Where I'm from they say dish soap instead of dish detergent. We say dish rag instead of dish cloth. And wash cloths are called wash rags. And I've heard the brass bra thing from my ex-husband, who was from Colorado. I don't think I've ever heard anyone else say that, until now.
In Ohio, when you say thank you, they say uhuh (instead of you're welcome). Also, instead of saying, "My car needs to be washed," they say, "My car needs washed."